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Finding the Fourth Proportional to 205,233.80, 307,850.70 and 135,192.20

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Solution

The fourth proportional to 205,233.80, 307,850.70 and 135,192.20 is: 202,788.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,233.80 : 307,850.70 = 135,192.20 : x
  2. Step 2: Convert to fraction form
    205,233.80/307,850.70 = 135,192.20/x
  3. Step 3: Cross multiply
    205,233.80x = 307,850.70 × 135,192.20
  4. Step 4: Simplify right side
    205,233.80x = 41,619,013,404.54
  5. Step 5: Solve for x
    x = 41,619,013,404.54/205,233.80
  6. Step 6: Final answer
    x = 202,788.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.